#include <bits/stdc++.h>
using namespace std;
#define ll long long 
int kthP(int k) {
    vector<bool> p(10000, true);
    p[0] = p[1] = false;
    vector<int> ps;
    for (int i = 2; i < 10000; i++) {
    if (p[i]) {
    ps.push_back(i);
    for (int j = i * 2; j < 10000; j += i)
    p[j] = false;
        }
    }
    return ps[k - 1];
}

int bfs(int s, vector<vector<int>> &adj, vector<bool> &vis) {
    queue<int> q;
    q.push(s);
    vis[s] = true;
    int c = 0;
    while (!q.empty()) {
    int u = q.front();
    q.pop();
    c++;
    for (int v : adj[u]) {
    if (!vis[v]) {
    vis[v] = true;
    q.push(v);
            }
        }
    }
    return c;
}
int main() {
    int a, b;
    cin >> a >> b;
    vector<vector<int>> adj(a + 1);
    for (int i = 0; i < b; i++) {
        int c, d;
        cin >> c >> d;
        adj[c].push_back(d);
        adj[d].push_back(c);
    }

    vector<bool> vis(a + 1, false);
    int mx = 0;
    for (int i = 1; i <= a; i++) {
    if (!vis[i]) {
    mx = max(mx, bfs(i, adj, vis));
        }
    }

    cout << mx << " " << kthP(mx) << endl;
    return 0;
}

Nucleus ✅

#include <bits/stdc++.h>
using namespace std;
#define ll long long
class SegmentTree {
private:
    vector<ll> t;
    ll n;
    void upd(ll i, ll v, ll x, ll s, ll e) {
        if (s == e) {
            t[x] += v;
        } else {
            ll m = (s + e) / 2;
            if (i <= m) {
                upd(i, v, 2 * x, s, m);
            } else {
                upd(i, v, 2 * x + 1, m + 1, e);
            }
            t[x] = t[2 * x] + t[2 * x + 1];
        }
    }
    ll qry(ll l, ll r, ll x, ll s, ll e) {
        if (r < s || e < l) return 0;
        if (l <= s && e <= r) return t[x];
        ll m = (s + e) / 2;
        ll left = qry(l, r, 2 * x, s, m);
        ll right = qry(l, r, 2 * x + 1, m + 1, e);
        return left + right;
    }

public:
    SegmentTree(ll sz) : n(sz) {
        t.resize(4 * n, 0);
    }

    void upd(ll i, ll v) {
        upd(i, v, 1, 0, n - 1);
    }

    ll qry(ll l, ll r) {
        return qry(l, r, 1, 0, n - 1);
    }
};

vector<ll> solve(ll n, vector<ll>& a, ll q, vector<ll>& qrs) {
    vector<ll> res;
    SegmentTree st(n);
    vector<ll> b = a;
    sort(b.begin(), b.end());
    unordered_map<ll, ll> mp;
    for (ll i = 0; i < n; ++i) mp[b[i]] = i;

    auto cnt_inv = [&]() -> ll {
        ll inv = 0;
        for (ll i = n - 1; i >= 0; --i) {
            ll idx = mp[a[i]];
            inv += st.qry(0, idx - 1);
            st.upd(idx, 1);
        }
        for (ll i = 0; i < n; ++i) {
            st.upd(mp[a[i]], -1);
        }
        return inv;
    };

    for (ll x : qrs) {
        reverse(a.begin(), a.begin() + x);
        res.push_back(cnt_inv());
    }
    return res;
}

Reverse Inversion ✅

#include <bits/stdc++.h>
using namespace std;
struct ST {
    int n;
    vector<long long> t, lz;
    ST(int sz) {
        n = sz;
        t.resize(4 * n, 0);
        lz.resize(4 * n, 0);
    }
    void p(int nd, int s, int e) {
    if (lz[nd] != 0) {
    t[nd] += lz[nd];
    if (s != e) {
    lz[2 * nd + 1] += lz[nd];
    lz[2 * nd + 2] += lz[nd];
    }
    lz[nd] = 0;
    }
    }
    void ru(int nd, int s, int e, int l, int r, long long v) {
    p(nd, s, e);
    if (s > r || e < l) return;
    if (s >= l && e <= r) {
    lz[nd] += v;
    p(nd, s, e);
    return;
    }
    int m = (s + e) / 2;
    ru(2 * nd + 1, s, m, l, r, v);
    ru(2 * nd + 2, m + 1, e, l, r, v);
    t[nd] = max(t[2 * nd + 1], t[2 * nd + 2]);
    }
long long rq(int nd, int s, int e, int l, int r) {
p(nd, s, e);
if (s > r || e < l) return 0;
if (s >= l && e <= r) return t[nd];
int m = (s + e) / 2;
return max(rq(2 * nd + 1, s, m, l, r), rq(2 * nd + 2, m + 1, e, l, r));
}

void u(int l, int r, long long v) {
ru(0, 0, n - 1, l, r, v);
    }

    long long q(int l, int r) {
        return rq(0, 0, n - 1, l, r);
    }
};

long long SkillUpdate(int n, int q, vector<tuple<int, int, int>>& u) {
    ST st(n);
    vector<long long> mx(q, 0);
    for (auto& [l, r, x] : u) {
        st.u(l - 1, r - 1, x);
    }

    for (int i = 0; i < q; i++) 
    {
        auto [l, r, x] = u[i];
        st.u(l - 1, r - 1, -x);
        mx[i] = st.q(0, n - 1);
        st.u(l - 1, r - 1, x);
    }

    return *min_element(mx.begin(), mx.end());
}

Minimize and Maximum✅

#include <bits/stdc++.h>
using namespace std;
#define ll long long 
int main(){
     int n;
     cin>>n;
     vector<int>arr(n);
     for(int i=0;i<n;i++)cin>>arr[i];
     vector<int>presum(n);
     presum[0]=arr[0];
     for(int i=1;i<n;i++)presum[i]=presum[i-1]+arr[i];
     vector<int>dp(n); 
     vector<int>val(n);
     dp[0]=1;
     val[0]=arr[0];

     for(int i=1;i<n;i++){
        
        int l=0,h=i;
        int ind=0;
        while(h>=l){
          int mid=(l+h)/2;
          int sum= presum[i]- (mid>0?presum[mid-1]:0);
          int prev = (mid>0?val[mid-1]:0);
          if(sum>=prev){
            ind=mid;
            l=mid+1;
          }
          else h=mid-1;
        }
        if(ind==0){
          dp[i]=1;
          val[i]=presum[i];
        }
        else{
          dp[i]=dp[ind-1]+1;
          val[i]=presum[i]-presum[ind-1];
        }
     }
     cout<<dp.back();
}

 
Operate the subarray✅

#include <iostream>
#include <string>
#include <set>
#include <algorithm>
using namespace std;
string LexicographicOrder(string S) {
string result = "";
while (!S.empty()) {
set<char> seen;
string uniqueChars = "";
for (char c : S) {
if (seen.find(c) == seen.end()) {
uniqueChars += c;
seen.insert(c);
            }
        }
sort(uniqueChars.begin(), uniqueChars.end());
result += uniqueChars;
for (char c : uniqueChars) {
size_t pos = S.find(c);
if (pos != string::npos) {
S.erase(pos, 1);
            }
        }
    }
    return result;
}

Tiger Analytics ✅

#include <bits/stdc++.h>
using namespace std;
long long comb(int n, int r) {
    if (r > n) return 0;
    if (r == 0 || r == n) return 1;
    long long res = 1;
    for (int i = 0; i < r; i++) {
        res = res * (n - i) / (i + 1);
    }
    return res;
}
long long Balanced(int A, int B, int C) {
    long long s = 0;
    for (int p = 4; p <= min(A, C - 1); p++) {
    int w = C - p; 
    if (w >= 1 && w <= B) { 
    s += comb(A, p) * comb(B, w);
        }
    }
    return s;
} // Balance Mixture

✅

#include <iostream>
#include <string>
#include <cmath>
using namespace std;
int gap(char a, char b) {
    return abs(a - b);
}
string longestKInterspaceSubstring( string &word, int k) {
    string temp = "", maxSubstring = "";
    for (size_t i = 0; i < word.length(); i++) {
    temp += word[i];
    if (i < word.length() - 1 && gap(word[i], word[i + 1]) > k) {
    if (temp.length() > maxSubstring.length()) {
    maxSubstring = temp;
    }
    temp = "";
        }
    }
    if (temp.length() > maxSubstring.length()) {
        maxSubstring = temp;
    }

    return maxSubstring;
}

Longest K intersapace substring ✅
Paypal

#include <iostream>
#include <vector>
using namespace std;
const int MOD = 1000000007;

struct node {
    int val;
    int lazy;
    node *left;
    node *right;

    node() {
        left = nullptr;
        right = nullptr;
        lazy = 0;
        val = 0;
    }
};

void build(node *&root, int s, int e) {
    root = new node();
    if (s == e) {
        root->val = 0;
    } else {
        int mid = (s + e) / 2;
        build(root->left, s, mid);
        build(root->right, mid + 1, e);
        root->val = root->left->val + root->right->val;
    }
}

void applyLazy(node* root, int s, int e) {
    if (root->lazy) {
        root->val = (e - s + 1) - root->val;
        if (s != e) {
            if (!root->left) root->left = new node();
            if (!root->right) root->right = new node();
            root->left->lazy ^= 1;
            root->right->lazy ^= 1;
        }
        root->lazy = 0;
    }
}

void update_range(node *root, int s, int e, int l, int r) {
    applyLazy(root, s, e);
    if (s > r || e < l) return;
    if (s >= l && e <= r) {
        root->lazy ^= 1;
        applyLazy(root, s, e);
        return;
    }
    int mid = (s + e) / 2;
    update_range(root->left, s, mid, l, r);
    update_range(root->right, mid + 1, e, l, r);
    root->val = root->left->val + root->right->val;
}

int query(node *root, int s, int e, int l, int r) {
    applyLazy(root, s, e);
    if (s > r || e < l) return 0;
    if (s >= l && e <= r) {
        return root->val;
    }
    int mid = (s + e) / 2;
    int leftQuery = query(root->left, s, mid, l, r);
    int rightQuery = query(root->right, mid + 1, e, l, r);
    return leftQuery + rightQuery;
}

int solve(int N, vector<vector<int>>& B) {
    node* root = nullptr;
    build(root, 0, N - 1);
    
    int sumQueries = 0;
    for (const auto& op : B) {
        int type = op[0];
        int l = op[1] - 1;
        int r = op[2] - 1;

        if (type == 0) {
            update_range(root, 0, N - 1, l, r);
        } else {
            sumQueries += query(root, 0, N - 1, l, r);
            sumQueries %= MOD;
        }
    }
    return sumQueries;
}

int main() {
    int N, Q;
    cin >> N >> Q;
    vector<vector<int>> B(Q, vector<int>(3));
    
    for (int i = 0; i < Q; ++i) {
        cin >> B[i][0] >> B[i][1] >> B[i][2];
    }

    int result = solve(N, B);
    cout << result << endl;

    return 0;
}

Mask updates
Media. Net✅

#include <bits/stdc++.h>
using namespace std;
void solve() {
    int T;
    cin >> T;
    while (T--) {
        int n, x;
        cin >> n >> x;
        vector<int> a(n);
        for (int i = 0; i < n; i++) {
            cin >> a[i];
        }
        vector<int> remainderCount(x, 0);
        for (int i = 0; i < n; i++) {
            remainderCount[a[i] % x]++;
        }
        int pairs = 0;
        pairs += remainderCount[0] / 2;
        for (int r = 1; r <= x / 2; r++) {
            if (r == x - r) { 
                pairs += remainderCount[r] / 2;
            } else {
                int minCount = min(remainderCount[r], remainderCount[x - r]);
                pairs += minCount;
                remainderCount[r] -= minCount;
                remainderCount[x - r] -= minCount;
            }
        }
        cout << pairs * 2 << endl;
    }
}

int main() {
    solve();
    return 0;
}

christmas celebration ✅

#include <bits/stdc++.h>
using namespace std;
#define ll long long
ll solve(ll n, ll m, vector<vector<string>>& c) {
    vector<vector<ll>> g1(n), g2(n);
    vector<ll> d1(n, 0), d2(n, 0);
    for (const auto& t : c) {
    if (t[0] == "x") {
    ll a = stoll(t[1]) - 1;
    ll b = stoll(t[2]) - 1;
    g1[a].push_back(b);
    d1[b]++;
    } else if (t[0] == "y") {
    ll a = stoll(t[1]) - 1;
    ll b = stoll(t[2]) - 1;
    g2[a].push_back(b);
    d2[b]++;
        }
    }

    auto ts = [&](vector<vector<ll>>& g, vector<ll>& d) -> vector<ll> {
    queue<ll> q;
    for (ll i = 0; i < n; i++) {
    if (d[i] == 0) q.push(i);
    }
    vector<ll> o;
    while (!q.empty()) {
    ll u = q.front();
    q.pop();
    o.push_back(u);
    for (ll v : g[u]) {
    d[v]--;
    if (d[v] == 0) q.push(v);
        }
        }
    return o.size() == n ? o : vector<ll>();
    };

    vector<ll> o1 = ts(g1, d1);
    vector<ll> o2 = ts(g2, d2);
    if (o1.empty() || o2.empty()) return -1;
    vector<ll> r(n, 0), cols(n, 0);
    for (ll i = 0; i < n; i++) {
    for (ll v : g1[o1[i]]) {
    r[v] = max(r[v], r[o1[i]] + 1);
    }
    }
    for (ll i = 0; i < n; i++) {
    for (ll v : g2[o2[i]]) {
    cols[v] = max(cols[v], cols[o2[i]] + 1);
        }
    }
    ll max_r = *max_element(r.begin(), r.end()) + 1;
    ll max_cols = *max_element(cols.begin(), cols.end()) + 1;
    return max_r + max_cols;
}
int main() {
    ll n, m;
    cin >> n >> m;
    vector<vector<string>> c(m, vector<string>(3));
    for (ll i = 0; i < m; i++) {
        cin >> c[i][0] >> c[i][1] >> c[i][2];
    }
    cout << solve(n, m, c) << endl;
    return 0;
}

Stay inside Circle ✅